Boundary Integral Equations Formulation for Fractional Order Thermoelasticity
نویسندگان
چکیده
منابع مشابه
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions
In this manuscript a new method is introduced for solving fractional differential equations. The fractional derivative is described in the Caputo sense. The main idea is to use fractional-order Legendre wavelets and operational matrix of fractional-order integration. First the fractional-order Legendre wavelets (FLWs) are presented. Then a family of piecewise functions is proposed, based on whi...
متن کاملExistence Results for First Order Boundary Value Problems for Fractional Differential Equations and Inclusions with Fractional Integral Boundary Conditions
This paper studies a new class of boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems. Some illustrative examples are also discussed.
متن کاملNumerical solution for boundary value problem of fractional order with approximate Integral and derivative
Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three...
متن کاملFractional-order boundary value problems with Katugampola fractional integral conditions
*Correspondence: [email protected] Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Turkish Republic of Northern Cyprus Abstract In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions. Several fixed point theorems are used for sufficient conditions of existence (u...
متن کاملA Pure Contour Formulation for the Meshless Local Boundary Integral Equation Method in Thermoelasticity
A new meshless method for solving stationary thermoelastic boundary value problems is proposed in the present paper. The moving least square (MLS) method is used for the approximation of physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity, the temperature and displacement fields are uncoupled. In the first step, the temperature field, described by...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Methods in Science and Technology
سال: 2014
ISSN: 1505-0602,2353-9453
DOI: 10.12921/cmst.2014.20.02.49-58